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Titel:

Generalization of an input-to-state stability preserving Runge–Kutta method for nonlinear control systems

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Deflorian, M.; Rungger, M.
Abstract:
Given a nonlinear control system that is input-to-state stable (ISS) it is assured that the states of the system remain bounded if the input is bounded and the system is global asymptotic stable (GAS) in the sense of Lyapunov in the absence of inputs. Recently, Hu and Liu (2007) [7] studied under which condition ISS of a continuous time nonlinear control system implies ISS of the discrete time system obtained by an implicit Runge–Kutta (RK) method. In this contribution, we extend those results t...     »
Zeitschriftentitel:
Journal of Computational and Applied Mathematics
Jahr:
2014
Band / Volume:
255
Jahr / Monat:
2014-01
Monat:
Jan
Seitenangaben Beitrag:
346--352
Nachgewiesen in:
Scopus; Web of Science
Reviewed:
ja
Sprache:
en
Volltext / DOI:
doi:10.1016/j.cam.2013.05.017
Status:
Erstveröffentlichung
Eingereicht (bei Zeitschrift):
01.09.2011
TUM Einrichtung:
Lehrstuhl für Regelungstechnik
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